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Finding the Fourth Proportional to 7,443.61, 10,272.21 and 4,086.77

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Solution

The fourth proportional to 7,443.61, 10,272.21 and 4,086.77 is: 5,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.61 : 10,272.21 = 4,086.77 : x
  2. Step 2: Convert to fraction form
    7,443.61/10,272.21 = 4,086.77/x
  3. Step 3: Cross multiply
    7,443.61x = 10,272.21 × 4,086.77
  4. Step 4: Simplify right side
    7,443.61x = 41,980,092.98
  5. Step 5: Solve for x
    x = 41,980,092.98/7,443.61
  6. Step 6: Final answer
    x = 5,639.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.